Abstract
The lattice of monotonely Cauchy (=pre-Lebesgue) locally solid topologies on a given lattice-ordered group is studied. Indentifying topologies agreeing on order bounded sets this lattice becomes a complete Boolean algebra isomorphic to the subalgebra of the lattice's complemented members and realizable as a Boolean algebra of order projections. Some consequences of these results are indicated.
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References
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Communicated by K. Keimel
Work done while Tim Traynor was visiting professor at University of Napoli sponsored by CNR-Italia.
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Basile, A., Traynor, T. Monotonely Cauchy locally-solid topologies. Order 7, 407–416 (1990). https://doi.org/10.1007/BF00383205
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DOI: https://doi.org/10.1007/BF00383205